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Finding the Fourth Proportional to 10,481.52, 14,464.08 and 5,701.24

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Solution

The fourth proportional to 10,481.52, 14,464.08 and 5,701.24 is: 7,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.52 : 14,464.08 = 5,701.24 : x
  2. Step 2: Convert to fraction form
    10,481.52/14,464.08 = 5,701.24/x
  3. Step 3: Cross multiply
    10,481.52x = 14,464.08 × 5,701.24
  4. Step 4: Simplify right side
    10,481.52x = 82,463,191.46
  5. Step 5: Solve for x
    x = 82,463,191.46/10,481.52
  6. Step 6: Final answer
    x = 7,867.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.